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Finding the Third Proportional to 614,950.50 and 1,269,291

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Solution

The third proportional to 614,950.50 and 1,269,291 is: 2,619,885.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,950.50 : 1,269,291 = 1,269,291 : x
  2. Step 2: Convert to fraction form
    614,950.50/1,269,291 = 1,269,291/x
  3. Step 3: Cross multiply
    614,950.50x = 1,269,291 × 1,269,291
  4. Step 4: Simplify right side
    614,950.50x = 1,611,099,642,681
  5. Step 5: Solve for x
    x = 1,611,099,642,681/614,950.50
  6. Step 6: Final answer
    x = 2,619,885.08

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.